Symmetry classification of the general second-order (1+1)-dimensional
evolution equation

Abstract:We develop the generic approach to a complete solution of the group
classification problem for the general second-order evolution equation.
It enables us to classify all inequivalent equations in question
admitting non-trivial Lie symmetries. As a by-product, we get a novel
classification of quasi-local symmetries of quasi-linear evolution
equations.
So that we constructed broad classes of PDEs admitting non-point symmetry
groups.